Kathy and Glen received $272 in total from their father. After Kathy spent ²₃ of her money and Glen deposited ⁴₇ of his money into his savings account, Kathy had thrice as much money as Glen.

1. Find the amount of money Kathy received from her father.
2. If Glen' savings increased by 20% after the deposit, how much was Glen' savings in the bank in the end?

	Kathy	Glen	Total
Before	3x9 = 27 u	7 u	$272
Change	- 2x9 = - 18 u	- 4 u
After	1x9 = 9 u	3 u
Comparing Kathy and Glen in the end	3x3	1x3

Fraction of Kathy's money left
= 1 - ²₃
= ¹₃

Fraction of Glen's money left
= 1 - ⁴₇
= ³₇

The amount that Kathy had in the end is repeated.  Make the amount that Kathy had in the end the same. LM of 3 and 1 is 9.

Total amount given to Kathy and Glen
= 27 u + 7 u
= 34 u

34 u = 272

1 u = 272 ÷ 34 = 8

Amount that Kathy received from her father
= 27 u
= 27 x 8
= $216

(b)
Amount that Glen deposited
= 4 u
= 4 x 8
= $32

Savings that Glen had at first = 100%

Savings that Glen had in the end
= 100% + 20%
= 120%

20% of the savings = 32
1% of the savings = ³²₂₀
120% of the savings = 120 x ³²₂₀ = 192

Glen's savings in the end = $192

Answer(s): (a) $216; (b) $192